Details

sample1.1s

Algorithm

intervals

Results

579.0ms	110×	body	10240	exit
179.0ms	258×	body	80	valid
122.0ms	45×	body	1280	nan
77.0ms	34×	body	640	nan
41.0ms	25×	body	320	nan
19.0ms	17×	body	160	nan
5.0ms	10×	body	80	nan

simplify2.4s

Counts: 1 → 1

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize135.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0b	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
0.9b	(/ (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))) (exp (+ 0.5 (- 7 z))))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
64×	`times-frac`
32×	`distribute-lft-out`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
17×	`distribute-lft-out--`
14×	`add-log-exp`
11×	`exp-sum`
10×	`associate-/l*`
7×	`pow1`
6×	`sum-log` `add-cbrt-cube` `frac-add` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `flip3-+` `flip-+` `insert-posit16`
3×	`div-exp` `pow-sub` `associate-/l/`
2×	`+-commutative` `associate-+r-` `sqrt-pow1`
1×	`neg-sub0` `pow-to-exp` `cbrt-undiv` `associate-+l+` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `exp-diff` `unsub-neg` `pow-prod-down` `pow-exp` `associate-/r/` `sqrt-prod` `div-inv`

Counts

4 → 130

Calls

4 calls:

Slowest

233.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
133.0ms	(/ (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))) (exp (+ 0.5 (- 7 z))))
120.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
3.0ms	(sqrt (* 2 PI))

series404.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

256.0ms	(/ (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))) (exp (+ 0.5 (- 7 z))))
97.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
51.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.0ms	(sqrt (* 2 PI))

simplify1.6s

Counts: 140 → 140

prune5.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize223.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
25×	`*-un-lft-identity`
15×	`unpow-prod-down`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-div` `pow-sub`
7×	`pow1`
6×	`distribute-lft-out`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`neg-sub0` `unpow-prod-up` `associate-+r-` `pow1/3` `unsub-neg` `distribute-lft-out--` `sqr-pow`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

Slowest

29.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
23.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
20.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
3.0ms	(sqrt (* 2 PI))

series1.0s

Counts

4 → 10

Calls

4 calls:

Slowest

359.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
352.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
327.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
0.0ms	(sqrt (* 2 PI))

simplify1.2s

Counts: 88 → 88

prune4.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize142.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
1.0b	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))

rewrite689.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
24×	`times-frac`
23×	`distribute-lft-out`
16×	`add-log-exp`
12×	`distribute-lft-out--`
7×	`pow1` `sum-log`
6×	`frac-add`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative`
2×	`associate-+l+` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 70

Calls

4 calls:

Slowest

391.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
214.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
80.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
3.0ms	(sqrt (* 2 PI))

series201.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

121.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
54.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
26.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.0ms	(sqrt (* 2 PI))

simplify733.0ms

Counts: 80 → 80

prune2.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize266.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
1.0b	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
25×	`*-un-lft-identity`
15×	`unpow-prod-down`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-div` `pow-sub`
7×	`pow1`
6×	`distribute-lft-out`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`neg-sub0` `unpow-prod-up` `associate-+r-` `pow1/3` `unsub-neg` `distribute-lft-out--` `sqr-pow`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

Slowest

16.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
15.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
14.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
7.0ms	(sqrt (* 2 PI))

series1.1s

Counts

4 → 10

Calls

4 calls:

Slowest

397.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
384.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
311.0ms	(cbrt (pow (+ 0.5 (- 7 z)) (+ 0.5 (- z))))
0.0ms	(sqrt (* 2 PI))

simplify918.0ms

Counts: 88 → 88

prune4.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes707.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch16.0ms

end0.0ms

sample41.6s

Algorithm

intervals

Results

22.8s	3926×	body	10240	exit
6.1s	8077×	body	80	valid
5.7s	1624×	body	1280	nan
3.6s	1208×	body	640	nan
2.3s	671×	body	320	nan
433.0ms	293×	body	160	nan
232.0ms	314×	body	80	nan
3.0ms	2×	body	160	valid